85445052 has 192 divisors, whose sum is σ = 271810560. Its totient is φ = 20217600.

The previous prime is 85445051. The next prime is 85445117. The reversal of 85445052 is 25054458.

It is a super-2 number, since 2×85445052² = 14601713822565408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85445051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 544158 + ... + 544314.

It is an arithmetic number, because the mean of its divisors is an integer number (1415680).

Almost surely, 2^85445052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85445052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135905280).

85445052 is an abundant number, since it is smaller than the sum of its proper divisors (186365508).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85445052 is a wasteful number, since it uses less digits than its factorization.

85445052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

The square root of 85445052 is about 9243.6492793701. The cubic root of 85445052 is about 440.4490113339.

The spelling of 85445052 in words is "eighty-five million, four hundred forty-five thousand, fifty-two".